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Finding the Fourth Proportional to 1,234.97, 1,852.56 and 413.25

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Solution

The fourth proportional to 1,234.97, 1,852.56 and 413.25 is: 619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.97 : 1,852.56 = 413.25 : x
  2. Step 2: Convert to fraction form
    1,234.97/1,852.56 = 413.25/x
  3. Step 3: Cross multiply
    1,234.97x = 1,852.56 × 413.25
  4. Step 4: Simplify right side
    1,234.97x = 765,570.42
  5. Step 5: Solve for x
    x = 765,570.42/1,234.97
  6. Step 6: Final answer
    x = 619.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.